Ordered Line Integral Methods for Computing the Quasi-Potential
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DOI: 10.1007/s10915-017-0590-9
Abstract: The quasi-potential is a key function in the Large Deviation Theory. It characterizes the difficulty of the escape from the neighborhood of an attractor of a stochastic non-gradient dynamical system due to the influence of… read more here.
Keywords: line integral; methods computing; quasi potential; integral methods ... See more keywords
Line integral solution of Hamiltonian systems with holonomic constraints
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DOI: 10.1016/j.apnum.2017.12.014
Abstract: Abstract In this paper, we propose a second order energy-conserving approximation procedure for Hamiltonian systems with holonomic constraints. The derivation of the procedure relies on the use of the so-called line integral framework . We… read more here.
Keywords: line integral; hamiltonian systems; holonomic constraints; systems holonomic ... See more keywords
An Ordered Line Integral Method for computing the quasi-potential in the case of variable anisotropic diffusion
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DOI: 10.1016/j.physd.2018.07.002
Abstract: Abstract Nongradient stochastic differential equations (SDEs) with position-dependent and anisotropic diffusion are often used in biological modeling. The quasi-potential is a crucial function in the Large Deviation Theory that allows one to estimate transition rates… read more here.
Keywords: line integral; diffusion; quasi potential; anisotropic diffusion ... See more keywords